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Finding the Fourth Proportional to 102.02, 140.77 and 74.43

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Solution

The fourth proportional to 102.02, 140.77 and 74.43 is: 102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 140.77 = 74.43 : x
  2. Step 2: Convert to fraction form
    102.02/140.77 = 74.43/x
  3. Step 3: Cross multiply
    102.02x = 140.77 × 74.43
  4. Step 4: Simplify right side
    102.02x = 10,477.51
  5. Step 5: Solve for x
    x = 10,477.51/102.02
  6. Step 6: Final answer
    x = 102.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.